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Parallel Generation of Large Bipartite Subgraphs in Cubic Graphs

We consider the problem of finding in parallel a Maximum Bipartite Subgraph of a cubic graph G(V,E), that is known to be NP-complete even if the graph is triangle-free. We approach the problem as a Max Cut one. We analyze the solution structure according to the degree of vertices in the bipartition and to the odd girth g of the graph, showing that the number of edges in the bipartite subgraph is at least {{9g-3} / {8g}}|V|. The result of a wide experimentation rounds off the paper.